Answers
Answer:
(x + 2) (8x + 3)
Step-by-step explanation:
[tex]8x^{2}[/tex] + [tex]19x + 6[/tex]
= (x + 2) (8x + 3)
L = 3/a = 3/8
R = 16/a = 16/8 = 2
\ac/
L V R
/ \
/ b \
where letters have their usual meaning. Comparing 8x² + 19x + 6 to ax² + bx + c,
ac = 8*6 = 48
b = 19
Factors of ac or 48 :-
1 * 48
2 * 24
3 * 16
As the sum of 3 and 16 is 19(or b), our required pair is 3 and 16.
On the left side:
L = 3/a = 3/8
On the right side:
R = 16/a = 16/8 = 2
Therefore, factorized form is (x + 3/8)(x + 2) which can be written as (8x + 3)(x + 2).
How this method works:
Make a X with ac and b on the top and bottom of the X, where ac and b are taken from ax² + bx + c.
On the left side we have d/a and e/a. Basically d and e are those values that we get after solving the whole question.
Step1: find the pair(s) for which sum of factors of ac = b. Here it is 3 and 16.
Step2: put these values in place of d and e.
Step3: solve left anf right of X,
Left = d/a = 3/8
Right = e/a = 16/8 = 2
Step4: whatever you get, put that in (x+?)(x+?) in place of ?.
Related Questions
How to find the central angle
Answers
Answer:
x = 50
Step-by-step explanation:
Note that the 3 interior angles must sum up to 180 degrees:
50 + x + 80 =180, or
50 + x = 100, or
x = 50
Find the area of this triangle
Answers
Answer:
6km² sounds like a reasonable answer
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to
school.
How long does it take Andre to walk to school?
Answers
Answer:
16
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 15x+9y=-16215x+9y=−162. Fully simplify your answer.
Answers
Answer:
-5/3
Step-by-step explanation:
Any line parallel to the given line will have the same slope as the given equation;
Given the equation 15x+9y=-162
Rewrite in standard from y = mx+b
15x+9y=-162
9y = -15x - 162
y = -15/9 x - 162/9
y = -5/3 x - 18
This gives the required equation;
Since mx = -5/3 x
m = -5/3
Hence the slope of the line parallel to the given line is -5/3
please and thank you , 10 points
Answers
. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.
Answers
Answer:
Arithmetic Sequence
[tex]T_n = 240-60n[/tex] ---- Explicit
[tex]T_n = T_{n-1} - 60[/tex] --- Recursive
Geometric Sequence
[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive
Step-by-step explanation:
Given
[tex]180, 120,....[/tex]
(a) Assume it is an arithmetic sequence
The explicit formula is calculated using:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 180[/tex]
[tex]d = 120 - 180[/tex]
[tex]d = -60[/tex]
So, we have:
[tex]T_n = 180 + (n - 1)*-60[/tex]
[tex]T_n = 180 -60n + 60[/tex]
Rewrite
[tex]T_n = 180 + 60-60n[/tex]
[tex]T_n = 240-60n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]
[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]
-
[tex]T_n = T_{n-1} - 60[/tex]
(b) Assume it is a geometric sequence
The explicit formula is calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 180[/tex]
[tex]r = \frac{120}{180}[/tex]
[tex]r = \frac{2}{3}[/tex]
So, we have:
[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]
Split
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]
Rewrite as:
[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]
[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]
[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]
[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]
[tex]T_n = 270* (\frac{2}{3})^n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]
[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]
-
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]
Two groups went bowling. Here are the scores from each group.
Group A: 80, 100, 190, 110, 70, 90, 130
Group B: 50, 110, 100, 120, 107, 140, 150
70
80
190
50 60
90 100 110 120 130 140 150 160 170 180
score in points
1. Construct two box plots, one for the data in each group.
2. Which group shows greater variability? Explain how you know.
Answers
Answer:
Group A has greater variability
Step-by-step explanation:
Group A: 80, 100, 190, 110, 70, 90, 130
The variability of group A data :
Taking the range :
Maximum = 190 ; Minimum = 70
Range = Maximum - Minimum ; 190 - 70 = 120
Group B : 50, 110, 100, 120, 107, 140, 150
The variability of group B data :
Taking the range :
Maximum = 150 ; Minimum = 50
Range = Maximum - Minimum ; 150 - 50 = 100
Hence, Group A has greater variability
which expression below has a value in between 0 and 1?
a) 5(^-2)*1
b) (3^2)^3
c) 1/2*2^3
3(^-2)*3^3
Answers
The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)
Answers
ahaha good one
Step-by-step explanation:
...........
A king bed measures 76 inches wide by 80 inches long. How much does the length exceed the width?
A) 4 inches
B) 7 inches
C) 11 inches
D) 14 inches
Answers
Answer:
A) 4 inches
Step-by-step explanation:
The length is 80 inches and the width is 76 inches. To find the difference subtract 80 minus 76 and you get 4... the amount that is exceeding the width!
Have a wonderful day!
Answer:
A. 4 inches
Step-by-step explanation:
In order to find by how much the length exceeds the width we have to subtract width from the length in order to get the difference between the two lengths, and so we get...
80 - 76 = 4
Therefore the answer is A. 4 inches
at a fall festival student council sold two types of drinks hot chocolate in apple cider how many cups of apples are sold
Answers
Answer:
add a picture so i can see and help
Step-by-step explanation:
Answer:
your questions is completing
will reward the brainliest
Answers
Question 9 x> 2
Question 9: y>0
Giving brainlist to whoever answers
Answers
What is sec 0 when cot 0 = -4V2? 0 (1,0) [?] [ ] Rationalize the denominator if necessary. sec 0 =
Answers
Answer:
[tex]Sec~ 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot~0=-4\sqrt{2}[/tex]
[tex]Sec~0=\sqrt{33}/4\sqrt{2}[/tex]
[tex]=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}[/tex]
[tex]=4\sqrt{66} /32[/tex]
[tex]= \sqrt{66}/8[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
hope it helps...
have a great day!!!
A color wheel is divided into 6 equal pieces. Select all of the true statements about the pieces of the color wheelA color wheel is divided into 6 equal pieces. Select all of the true statements about the pieces of the color wheel
Answers
Answer:
sidekick egocentric Jayco
PLease answer!!! 30 points!!!
Answers
Answer:
a
Step-by-step explanation:
They make a right angle. A right angle adds up to 90.
Answer:
C.Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answers
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
Learn more about volume of cylinders here
https://brainly.com/question/15891031
#SPJ2
A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the pyramid?
Answers
Answer: [tex]24\ ft[/tex]
Step-by-step explanation:
Given
The slant height of the square pyramid is [tex]l=25\ ft[/tex]
The length of the side of the base is [tex]a=14\ ft[/tex]
for the square pyramid, height is given by
[tex]\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft[/tex]
Thus, the height of the prism is [tex]24\ ft[/tex]
Please help! I will give Brainliest!
Who is correct?
Answers
Answer:
Dylan Is Correct
Step-by-step explanation:
Answer:
Dylan is correct
Step-by-step explanation:
Read the excerpt from Martin Luther King Jr.’s "I Have a Dream” speech.
We can never be satisfied as long as the Negro is the victim of the unspeakable horrors of police brutality. We can never be satisfied as long as our bodies, heavy with the fatigue of travel, cannot gain lodging in the motels of the highways and the hotels of the cities. We cannot be satisfied as long as the Negro's basic mobility is from a smaller ghetto to a larger one.
Why does King repeat the phrase "we can never be satisfied”? Select 3 options.
to inspire listeners
to demand action
to explain racial differences
to show negativity
to rally emotional support
to accept current treatment
PLZZ HELP I HAVE A TIMER
Answers
Answer:
1. To Inspire Listeners
2. To Demand Action
5. To Rally Emotional Support
Step-by-step explanation:
I just took the test:)
Help please with this math ;-; I beg of you
Answers
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
Here is the histogram of a data distribution.
What is the shape of this distribution?
A. Bimodal symmetric
B. Uniform
c. Unimodal symmetric
D. Bimodal skewed
E. Unimodal skewed
Answers
Answer:
Uniform
Step-by-step explanation:
We don't have any peaks in the histogram, so its neither unimodal or bimodal leaving only uniform as the answer.
The shape of this distribution, histogram is Unimodal skewed type. The correct option is E.
What is histogram?A histogram represents the graphical representation of the distribution of data. The histogram is indicated by using a set of rectangles adjacent to each other where each bar represent a kind of data. The histogram doesn't involve any gaps between the two successive bars.
The histogram would be classified into different types based on the frequency distribution of the data.
Based on the direction of the tail, the skewed distribution may be either right-skewed or left skewed.
Since skewed distribution is asymmetrical as a limit which is natural resists end results on one side.
Threfore, the correct option is E.
To know more about histogram, visit;
brainly.com/question/16819077
#SPJ7
50 PTS!!!!
PLEASE LOOK AT THE SCREENSHOT AND ANSWER:
Which kind of model best describes this set of data?
Answers
Answer:
that is the correct answer
3.
PROBLEM: Vincent started his piano practice at 5:15 PM. He ended his practice when the
minute hand moved 90 in the clock circle. What time did he finish?
MAKE SENSE:
MODEL and SOLVE:
5:15 + 90
Answers
Answer:
6:45
Step-by-step explanation:
Find the interquartile range (IQR) of the data in the dot plot below. goals luis's lacrosse
Answers
Answer:
3.5
Step-by-step explanation:
The interquartile range is the difference between the third and first quartile
IQR = Q3 - Q1
From the dot plot given :
The data, X could be culled :
X = 43, 44, 44, 44, 45, 45, 47, 48, 48
n = 9
Q3 = 3/4(n + 1)th term
Q3 = 3/4(10) = 7.5th term = (47 + 48) / 2 = 47.5
Q1 = 1/4(n + 1)th term
Q1 = 1/4(10) = 2.5th term = (44 + 44) / 2 = 44
Q3 - Q1 = 47.5 - 44 = 3.5
Answer:
3.5
Step-by-step explanation:
smart
Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.
Answers
Answer:
I think it’s 11.8
Step-by-step explanation:
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)
Answers
Answer:
Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.
Step-by-step explanation:
RIGHT ANSWER WILL BE MARK BRAINLIEST
Answers
4 x 3/4
SHeeeeeeeeeeeeesh
Answers
Find the area of a circle with diameter 8 in.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
Answer:
Step-by-step explanation:
50.27 should be the area of a circle that has a radius of 4 in.